An Algorithm Coupling the OSRC and FEM for the Computation of an Approximate Scattered Acoustic Field by a Non-convex Body

Xavier Antoine (1)

1 CORIDA - Robust control of infinite dimensional systems and applications

This paper describes a new formulation to solve the acoustic scattering problem by a non-convex structure. The presented hybrid algorithms connect the on-surface radiation condition method to accelerate the calculations with a two-dimensional finite element method to treat the non-convex part of the domain. This allows the problem of truncating the computational domain to be overcome. The variational formulations associated with a Dirichlet or a Neumann boundary condition are considered. Finally, we give some numerical results on a model test case to illustrate the improvement of accuracy of the new algorithm compared to a pure OSRC approach.

Domaines: Analyse numérique [math.NA]

Xavier Antoine. An Algorithm Coupling the OSRC and FEM for the Computation of an Approximate Scattered Acoustic Field by a Non-convex Body. International Journal for Numerical Methods in Engineering, 2002, 54 (7), pp.1021-1041. ⟨10.1002/nme.458⟩. ⟨hal-00347876⟩